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Finding the Fourth Proportional to 12,585.40, 18,847.74 and 9,943.72

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Solution

The fourth proportional to 12,585.40, 18,847.74 and 9,943.72 is: 14,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.40 : 18,847.74 = 9,943.72 : x
  2. Step 2: Convert to fraction form
    12,585.40/18,847.74 = 9,943.72/x
  3. Step 3: Cross multiply
    12,585.40x = 18,847.74 × 9,943.72
  4. Step 4: Simplify right side
    12,585.40x = 187,416,649.19
  5. Step 5: Solve for x
    x = 187,416,649.19/12,585.40
  6. Step 6: Final answer
    x = 14,891.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.